To solve the equation 8/9(x+1/2) = 32/3 for x, we can start by multiplying both sides of the equation by 9/8 to eliminate the fraction on the left side:
(9/8)(8/9)(x+1/2) = (9/8)(32/3)
The (8/9) and (9/8) cancel out, leaving:
x + 1/2 = (32/3)(9/8)
Multiplying 32/3 by 9/8, we get:
x + 1/2 = 288/24
Reducing 288/24, we get:
x + 1/2 = 12/1
Now, to isolate x, we subtract 1/2 from both sides of the equation:
x = 12/1 - 1/2
To subtract these fractions, we need a common denominator of 2, so we can rewrite 12/1 as 24/2:
x = 24/2 - 1/2
Combining the fractions, we get:
x = 23/2
So, the solution to the equation is x = 23/2.
What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?(1 point)
1 answer